Journal of Power and Energy Engineering, 2017, 5, 40-54 http://www.scirp.org/journal/jpee

ISSN Online: 2327-5901 ISSN Print: 2327-588X

DOI: 10.4236/jpee.2017.55004 May 26, 2017

Reactive Power Problem and Solutions: An Overview

Ahmed A. AbdElhafez1,2, Saud H. Alruways1, Yazeed A. Alsaif1, Mutlaq F. Althobaiti1, Abdulmohsen B. AlOtaibi1, Naif A. Alotaibi1

1Electrical Engineering Department, College of Engineering, Shaqra University, Shaqra, KSA, 2Electrical Engineering Department, Faculty of Engineering, Assiut University, Assiut, Egypt

Abstract This article presents a comprehensive review for the dilemma of reactive power flow, while addressing different proposed remedy strategies: conven-tional and most update solutions. Robust analytical expressions were utilized to exploit the functionality of the proposed solutions and to show clearly the relation between the reactive power and control variables. The article, moreo-ver, proposes a simple, innovative and robust analysis for static performance of the STATCOM. This approach shows clearly the advantages of the STA- TCOM in regulating reactive power and maintaining load voltage level within presumable limits. The approach, furthermore, reveals explicitly via analytical expressions the impact of the STATCOM operation on different aspects of the power system under concern.

Keywords Compensation, TCR, TSC, STATCOM, Reactive Power

1. Introduction

Reactive power flow is a salient feature of an electrical power system. Reactive power is mandatory for the operation of different load types either static or ro-tating [1] [2]. For example, in rotating load as induction motor, which is the main industry motor, the reactive power is essential for producing the revolving magnetic field required for successful operation. In the transmission and distri-bution networks of electric power, the reactive power is required to fulfill the requirement of proper operation. The value and the direction of the reactive power in such networks vary according to load level and power factor [1] [2] [3]. These lines are essentially reactive networks of distributed parameters characte-rized by their series inductance and shunt capacitance [4] [5] [6] [7].

How to cite this paper: AbdElhafez, A.A., Alruways, S.H., Alsaif, Y.A., Althobaiti, M.F., AlOtaibi, A.B. and Alotaibi, N.A. (2017) Reactive Power Problem and Solu-tions: An Overview. Journal of Power and Energy Engineering, 5, 40-54. https://doi.org/10.4236/jpee.2017.55004 Received: April 8, 2017 Accepted: May 23, 2017 Published: May 26, 2017 Copyright © 2017 by authors and Scientific Research Publishing Inc. This work is licensed under the Creative Commons Attribution International License (CC BY 4.0). http://creativecommons.org/licenses/by/4.0/

Open Access

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Reactive power flow, however, has a number of undesirable consequences. It increases the drawn current for the same load level, which in turn increases the losses, maintenance and cost of the power system operation. Moreover, it reduc-es the power stability margin. It under heavy level of reactive power probably results in voltage instability [8] [9] [10] [11].

Different reactive power compensating strategies are reported in the literature. These schemes vary from simple techniques such as fixed capacitor/inductor to recent approaches such as Static Synchronous Compensator (STATCOM), Static Series Synchronous Compensator (SSSC) and Unified Power flow controller (UPFC) [12] [13] [14] [15]. The recent techniques as STATCOM, SSSC and UPFC are solid-state based circuits that manipulated DC voltage and DC current to synthesize the compensated voltage/current. These schemes are revolved from traditional solid-state topologies, Static VAR Compensators (SVC), such as Thy-ristor Controlled Reactor (TCR), Thyristor Switched Capacitor (TSC) and Thy-ristor Controlled Capacitor (TCC) [11]-[18].

The compensating techniques either conventional or recent suffer from limi-tations. For example, the reactive output of SVC topologies is proportional to the square of the voltage magnitude. Therefore, the SVC provided reactive pow-er decrease rapidly as voltage decreases, which reduces its stability. STATCOM typically exhibit higher losses and may be more expensive than SVC. Moreover, STATCOM operates under balanced operating conditions; thus its performance is deteriorated under abnormal operating conditions. The UPFC, also as STA- TCOM, could not operate properly under disturbance conditions [19]-[26].

In this article, comprehensive analysis for the phenomenon of reactive power is provided. The different indices for the reactive power are highlighted. Then, examples of reactive power compensating scheme are addressed regarding oper-ational constraints and performance characteristics. A simple and robust analy-sis for the static performance of the STATCOM is advised. Simple and clear analytical expressions are advised to expose explicitly the relation between the STATCOM and different aspects of power system operation. Finally, the conclu-sion highlights the main points in the dilemma of reactive power.

This article has a number of objectives: 1) Providing a comprehensive highlighting for conventional and recent tech-

niques for compensating reactive power. 2) Analyzing the static/dynamic performance of different reactive power com-

pensator as a simple straightforward approach. 3) Proposing simple and innovative approach for the static performance of the

STATCOM, which illustrates via analytical expression the increase in load vol-tage and the reduction in transmission line losses due to STATCOM operation.

2. Reactive Power and Performance Indices

As mentioned before that reactive power is elementary for some load to func-tion; therefore the majority of loads are functioning at lag power factor which is less unity. Figure 1 shows the variation of the power factor of a load with the

A. A. AbdElhafez et al.

42

drawn reactive power either inductive or capacitive. The active load power is assumed 1.0 pu in generating Figure 1.

Figure 1 shows that a load power factor is heavily dependent on the drawn reactive power and vice versa. Moreover, for inadequate design the load results in flowing large reactive power and hence degrading the power factor.

Reactive power flow, as mentioned, could result in uneconomic operation of the power system, as it increases the current magnitude and hence copper and reactive losses in the transmission and distribution networks. This is shown Figure 2. The power system in Figure 2 is assumed to operate at rated voltage and 1.0 pu active power, and the line under concern has a resistance of 0.1 pu. This hypothetical value for line resistance is assumed to depict the worst design case.

Figure 1. Power factor versus reactive power.

Figure 2. Load current (star) and line losses (dotted) versus reactive power.

-2 -1.5 -1 -0.5 0 0.5 1 1.5 20

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

Reactive power (pu)

pow

er fa

ctor

-2 -1.5 -1 -0.5 0 0.5 1 1.5 20

0.5

1

1.5

2

2.5

Reactive power (pu)

loss

es (p

u)

load current (pu)line losses (pu)

A. A. AbdElhafez et al.

43

Figure 2 shows that current magnitude and losses increases for non-zero reactive power despite inductive or capacitive. This definitely impacts the eco-nomic operation of a power system, which eventually affects the end-line cus-tomers. To visualize the full dilemma of reactive power, Figure 3 shows the effi-ciency of 0.1 pu resistance power system versus the circulated reactive power. In producing Figure 3, only ohmic losses in the tranmission line are considered.

Figure 3 shows how could the flow of the reactive power impacts the efficien-cy. The figure shows that the efficiency is reduced under the flow of the reactive power despite its sign. This is attributed to the fact that Figure 3 is generated for uncompensated operation. The relatively low value around 90% of the efficiency at zero reactive power is due to the large value of the line resistance.

3. Reactive Power Compensation

Different techniques are emerged to remedy the problem of reactive power cir-culation. These approaches range from simple method to most-update ap-proaches. Each approach enjoys merits and suffers from drawbacks. In the fol-lowing, a concise highlight for these methods is addressed.

3.1. Simple Compensation Strategies

A simple compensation technique is inserting fixed capacitor/inductor [1] [2] [3] [4]. The capacitor is used for nominal/heavy load operating points to pro-duce sufficient reactive power for boosting voltage profile at load buses. The in-ductor meanwhile is used for light load operating point to limit the voltage within the presumable regulation. Usually, the capacitor/inductor is inserted in the system via mechanical switch. The reactive power produced from reactive elements capacitor/inductor is obtained from the primitive equation,

2

V

QX

= (1)

Figure 3. Efficiency versus reactive power.

A. A. AbdElhafez et al.

44

where Q is either inductive or capacitive depending on X. The capacitive reac-tance powers produced via fixed capacitor elements are shown in Figure 4. This figure shows that pumped reactive power increases almost linearly with the ca-pacitor value. This could be considered as a guideline for dimensioning the reac-tive power compensation element.

Figure 4 shows the linear dependency of the pumped reactive power from the capacitor with the capacitor value. This implies application of bulky and costly capacitor for compensating large loads. The reactive power produced from the fixed capacitor bank compensation is voltage dependent (Figure 4), as it varies with the square of the voltage at the common coupling point.

These techniques suffer from serious limitations, such as: Fixed compensation, which limits their compensation ability; Inability to respond for load requirements; these techniques fail to provide in-

stantaneous response for load reactive power requirements; Resonances, the fixed compensator capacitor/inductor values could resonate

with transmission line parameters.

3.2. SVC Topologies

SVC gains more advantages than rotating reactive power compensators and fixed reactive elements, such as:

1) High efficiency; 2) Reduced volumetric dimension; 3) Relatively fast responses compared with synchronous condenser; 4) Adaptive operation, SVC could provide continuous compensation com-

pared with fixed reactive elements. SVC could act as source/sink for the reactive power according to the control strategy;

5) Automation, as SVC are mainly solid-state devices, they could be controlled via intelligent systems as microprocessor and microcontroller.

Figure 4. Capacitive reactive power produced from via capacitor.

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 10

0.5

1

1.5

2

2.5

3

3.5

4

Voltage (pu)

Cap

activ

e re

activ

e po

wer

Qc(p

u)

Xcpu=1.0Xcpu=0.5Xcpu=0.33Xcpu=0.25

C increase

A. A. AbdElhafez et al.

45

It is worth to mention that SVC suffers from elevated harmonic content in the output voltage and current. This would produce additional problems to the power system.

SVC for shunt operation is composed from two main topologies. These are TCR and TSC, as shown in Figures 5-7. TCR and TSC could act independently generating inductive/capacitive reactive power, or they run as one device pro-ducing variable reactive power. In SVC, the reactive passive elements are inter-faced to the common coupling point via self-commutated sold-state devices. TCR consists from inductance interfaced via pair of anti-parallel thyristors. The firing angles of the thyristors are controlled in continuous manner. For TCR, there are two modes of conduction: discontinuous current and continuous cur-rent. The inductor current is continuous if the firing angle α of the thyristor is greater than π/2 and less than π. For more details, see references [22] [24]. The inductor current is given in terms of firing angle,

( )2 cos cosVi tL

α ωω

= + (2)

The reactive power produced by TCR is given by,

( )( )2 2 32 cos 2 sin 2

2LVQ

Lπ α α α

ω π = − + +

(3)

Figure 6 shows the reactive power generated from TCR at different firing an-gles.

Figure 6 shows that for Xpu =1.0 the produced reactive power is 4 pu. A small inductor is sufficient to produce the required reactive power. The range of the firing angles of the thyristor is limited to be 90˚ - 180˚. This is to ensure conti-nuous inductor current conduction.

Figure 5. Thyristor based FACTS devices thyristor-controlled reactor.

A. A. AbdElhafez et al.

46

Figure 6. TCR reactive power versus firing angle.

Figure 7. Thyristor based FACTS devices thyristor-switched capacitor.

TSC similarly to TCR is composed from capacitor interfaced to the common

coupling point via pair of anti-parallel thyristors (Figure 7). Here the thyristors are controlled such that current through the thyristor ITCR

is function in the thyristor firing angle, α. The RMS value of the current could be obtained by,

2 sin 2 -2

svcTCR

C

VI

Xα π α

π = +

90 100 110 120 130 140 150 160 170 1800

0.5

1

1.5

2

2.5

3

3.5

4

Thyristor firing angle α (degree)

TCR

reac

tive

pow

er (p

u)

Xpu=1.0

Xpu=0.5

Xpu=0.33

Xpu=0.25

A. A. AbdElhafez et al.

47

Thus, the reactive power could be calculated by, 22 sin 2*

2svc

TCR svcC

VQ I V

Xα π α

π = = + −

For more details, see references [22] [24]. The thyristor RMS current and the capative reactive power are function in

thyristor firing angle, α. The reactive powers as a function in thyristor firing an-gle and the capacitance are shown in Figure 8.

Figure 8 shows that as the firing angle increases the delivered reactive power decreases. Therefore, the reactive power diminishes at high firing angles (Figure 8). The capacitive reactive power is inversely proportional with capacitance val-ue, (8).

TCR and TSC are usually merged in topology themed SVC (Figure 9). This widens the applicability range of the SVC and allows compensation of different load levels.

Figure 8. TSC reactive power versus firing angle.

(a) (b)

Figure 9. Thyristor based SVC: (a) thyristor-controlled rea- ctor, (b) thyristor-switchedcapacitor.

0 20 40 60 80 100 120 140 160 1800

1

2

3

4

5

6

7

8

Thyristor firing angle (degree)

TSC

reac

tive

pow

er (p

u)

Xpu=0.25

Xpu=0.33

Xpu=0.5

Xpu=1.0

A. A. AbdElhafez et al.

48

The characteristics of SVC are shown in Figure 10. SVC in Figure 10 is composed of TCR and TSC topologies.

Figure 10 shows that SVC for voltage below 1 pu operates as TSC, while for higher voltage level than 1 pu, it acts as TCR. SVC, Figure 10, has the ability to generate and or absorb reactive power accordingly to the load level and power factor.

3.3. STATCOM

STATCOM is the recent configuration of SVC; it remedies the limitations in the traditional SVC. STATCOM generally utilizes high sufficient frequencies such that STATCOM produces high quality output voltage and current. The main objective of the STATCOM is to produce instantaneous +/- reactive power ac-cording to the load requirement and the operating point. Figure 11 shows a power system where the STATCOM is attached at the point of common coupl-ing. The STATCOM is usually interfaced via a transformer.

Figure 10. I-V SVC characteristics.

+ -

VDC

m

CDC

VL

VCC

VS

γ

Figure 11. Single machine infinite bus system and STATCOM.

A. A. AbdElhafez et al.

49

STATCOM consists of mainly a Voltage Source Converter (VSC) attached to large DC capacitor. Fully controlled solid-state devices are used to implement VSC. The basic objective of a VSC is to produce a sinusoidal ac voltage with mi-nimal harmonic distortion from the DC voltage. The DC voltage across the DC capacitor (CDC) of the STATCOM is controlled to be constant. The DC capaci-tor has the function of establishing an energy balance between the input and output during the dynamic performance of the STATCOM. The size of the ca-pacitor is primarily determined by the ripple input current encountered with the particular converter design [4] [27].

Static Performance of STATCOM Static performance of the STATCOM could be obtained from the equivalent circuit shown in Figure 12. This circuit depicts the steady-state performance of a load connected to a supply via a transmission line with inductive and resistive losses. The load voltage VL is taken as a reference (Figure 12). The STATCOM is modeled as a variable current source, which generates current component that eliminates the reactive component of load current. Therefore, the supply pumps only active power and reactive power required to compensate transmission line inductive drop.

The supply voltage amplitude IVsI = 1.0. The supply angle δ is given by

21

1

2 22

1

2sin( 2 )

2 2

sL

s

s s

c Vc PV c

V c Vc

δ θ+

+ =

+

(4)

where PL is load power and the angle θ is given by

( ) 2

1

tancc

θ = (5)

where c1 and c2 are given respectively by,

( ) ( )1 cos sinc X Rϕ ϕ= + (6)

( ) ( )2 cos sinc R Xϕ ϕ= − (7)

The load voltage is given by,

( )1

sinL

Ls

c PVV δ

= (8)

R jX

sV LoadLV

sI

STATCOMI

LI

Figure 12. Per-phase equivalent circuit for STATCOM model attached to power system.

A. A. AbdElhafez et al.

50

The STATCOM modeled current source cI is given by,

( ) ( )sincos

Lc

L

PI jV

ϕϕ

= − (9)

The graph of load voltage VL is shown in Figure 13 without compensation for different load levels and power factors along with compensated scenario. The load voltage illustrated in Figure 13 is obtained by Equation (8).

Figure 13 shows that the system operation with STATCOM results in better load voltage profile. However, as the STATCOM is attached at load bus; thus the supply has to deliver the required reactive power to fulfill the requirements of transmission line. Figure 13 shows for lag load a significant drop for load vol-tage is recorded, which maybe not suitable for voltage sensitive loads.

The influence of the STATCOM on the transmission line losses are shown in Figure 14, where transmission line losses are drawn versus load power for dif-ferent load power factor.

Figure 13. Load voltage VL versus load power for different power factors with and without compensation.

Figure 14. Transmission line losses versus load power for different power factors with and without compensation.

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.20.8

0.85

0.9

0.95

1

1.05

1.1

Load power (pu)

Load

vol

tage

IVLI (

pu)

Pf=0.5 lagPf=0.866 lagSTATCOMPf=0.866 leadPf=0.5 lead

0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 1.1 1.20

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

Load power (pu)

Tran

smis

sion

loss

es (p

u)

Pf=0.5 lagPf=0.866 lagSTATCOMPf=0.866 leadPf=0.5 lead

A. A. AbdElhafez et al.

51

It is obvious in Figure 14 that operation of the system under concern while deploying STATCOM results in minimum line current amplitude and hence minimum transmission line losses. Figure 14, shows for uncompensated opera-tion the lead power load scenarios reduce transmission line losses compared to lag power factor scenarios.

The reactive power delivered by STATCOM under different load and power factor levels is illustrated in Figure 15.

Figure 15 reveals the merit of STATCOM in instantaneous responding for load reactive requirements. However, Figure 15 shows hypothetical operating conditions, such as the operation close to power equal of 0.1 lag/lead. Moreover, the figure ignores the operational limits of the STATCOM, which are returned to storage capacity of the DC source and ratings of solid-state devices.

4. Conclusions

A comprehensive overview for the problem of reactive power and different compensating techniques are given in this article. The reactive power is manda-tory for operating a power system as different types of loads require reactive power to function. These loads include rotating and staticas induction motor and light loads. However, the circulation of the reactive power influences the operation of different power system components and subsystems such as trans-mission lines and cables. Moreover, significant voltage drop is produced due to the flow reactive power, which could result in voltage instability.

Different compensation techniques are developed and adopted in the power system. The fixed reactive passive elements produce reactive power that is vol-tage dependent. Moreover, resonances could be produced due to the interaction of reactive elements with the transmission lines and power system reactances.

Conventional SVC configurations as TCR and TSC emit significant harmon-ics into common coupling point.

Figure 15. STATCOM reactive power versus load angle and load power.

-100-75 -50 -25 0 25 50 75 100

00.25

0.50.75

11.25

1.5-8-6-4-202468

Load power factor (degree)Load power (pu)

STA

TCO

M re

activ

e po

wer

(pu) Inductive Q

Capactive Q

Lead power factor

Lag power factor

A. A. AbdElhafez et al.

52

STATCOM enjoys the advantages of fast response, robustness and reliability. STATCOM produces continuous reactive power according to the loading condi-tions.

Acknowledgements

The authors are grateful for Shaqra University and College of Engineering for supporting and encouraging this work in particular Prof. Dr. Abdulaziz S. Al-sayyari, dean of Engineering College.

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